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Finding the Fourth Proportional to 156,646.86, 235,051.29 and 77,759.34

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Solution

The fourth proportional to 156,646.86, 235,051.29 and 77,759.34 is: 116,679.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,646.86 : 235,051.29 = 77,759.34 : x
  2. Step 2: Convert to fraction form
    156,646.86/235,051.29 = 77,759.34/x
  3. Step 3: Cross multiply
    156,646.86x = 235,051.29 × 77,759.34
  4. Step 4: Simplify right side
    156,646.86x = 18,277,433,176.55
  5. Step 5: Solve for x
    x = 18,277,433,176.55/156,646.86
  6. Step 6: Final answer
    x = 116,679.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.